As observed by many researches our sun will be exhausted in a distant future. So anyone thinks driving our planet (or any planet) closer to the sun for more light and heat is a solution for the life to survive on earth? Or moving it out of the sun's gravitational field and taking to some other solar system with a healthy star? Possibly with some kind of thrusting mechanism that we may invent in future.

I am aware of the sun's gravity and the mass of the earth. Still I thought to ask this if anyone else has the same idea in their craziest dreams. And I am well aware that this is a foolish question. I am sorry for that.

First the Sun will actually keep getting hotter and expand, so we still would need to move the Earth, but outwards.
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LocalFluffJul 18 '14 at 8:58

Ohh, so the question was not that much foolish. :)
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XmindzJul 24 '14 at 11:51

It is necessary for long term existence of life on Earth. And it is difficult for advanced life to leave Earth, we are adapted to its atmosphere, minerals and biosphere which are complicated to recreate. It might be easier to move the Earth than to build a mini-copy of its environment.
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LocalFluffJul 24 '14 at 13:19

2 Answers
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Yes. Even with todays technology we can get started.
In this article by Korycansky et al 2001 it is suggested to use rockets to move an asteroid (like a larger version of the NASA ARM Asteroid Redirect Mission) to a cycling orbit between Earth and Jupiter. The asteroid would pass near infront of the Earth in order to give the Earth a slight gravity assist which moves it outwards. The asteroid then passes near behind Jupiter to itself get a gravity assist. This transfers energy from Jupiter's to Earth's orbit. I've also heard of a proposal to use Venus instead.

Nothing acting solely from on or within the Earth could change its orbit or seriously alter its rotation.
One way to move an object is to throw mass in the opposite direction, the way jets or rockets do.
If we think really big and imagine blasting a chunk out of the Earth as big as North America and 100 miles thick so that its final speed, after escape, with respect to the Earth is 25,000 miles an hour, we will have expelled only 1/500 of the total mass of the Earth. The Earth would move in the opposite direction 1/500 as fast or 50 miles an hour. The speed of the Earth in its orbit is about 67,000 miles an hour. We will not change the orbit of the Earth very much--if we apply the impulse to speed up the earth in its orbit we would put the Earth into a new orbit with its most distant point about 70,000 miles further from the Sun than now--and the Earth's distance from the Sun varies now by three million miles over the course of a year! Exactly the same arguments apply to changing the orbit of the Earth through the impact of a large asteroid. The largest asteroid, Ceres, about 600 miles in diameter, is only about as massive as our hypothetical chunk of Earth above. Changing the orbit of a planet is a tall order. An impact big enough to have even a tiny effect on the Earth's orbit or rotation would almost certainly destroy all life on Earth as well.